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Simplifying -4y3 + -8xy4 = 4y3(1 + 2xy) Reorder the terms: -8xy4 + -4y3 = 4y3(1 + 2xy) -8xy4 + -4y3 = (1 * 4y3 + 2xy * 4y3) Reorder the terms: -8xy4 + -4y3 = (8xy4 + 4y3) -8xy4 + -4y3 = (8xy4 + 4y3) Solving -8xy4 + -4y3 = 8xy4 + 4y3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8xy4' to each side of the equation. -8xy4 + -8xy4 + -4y3 = 8xy4 + -8xy4 + 4y3 Combine like terms: -8xy4 + -8xy4 = -16xy4 -16xy4 + -4y3 = 8xy4 + -8xy4 + 4y3 Combine like terms: 8xy4 + -8xy4 = 0 -16xy4 + -4y3 = 0 + 4y3 -16xy4 + -4y3 = 4y3 Add '4y3' to each side of the equation. -16xy4 + -4y3 + 4y3 = 4y3 + 4y3 Combine like terms: -4y3 + 4y3 = 0 -16xy4 + 0 = 4y3 + 4y3 -16xy4 = 4y3 + 4y3 Combine like terms: 4y3 + 4y3 = 8y3 -16xy4 = 8y3 Divide each side by '-16y4'. x = -0.5y-1 Simplifying x = -0.5y-1
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